Functional analysis and geometry
著者
書誌事項
Functional analysis and geometry
(Contemporary mathematics, 733 . Selim Grigorievich Krein centennial)
American Mathematical Society, c2019
大学図書館所蔵 全22件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734.
Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union.
The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.
目次
P. Kuchment and E. Semenov, Introduction
T. Voronina (nee Krein), My father Selim Krein
Y. M. Berezansky, Kyiv, Fall of 1943 through 1946. The rebirth of mathematics
D. G. Ebin, Selim Gregorievich Krein in Stony Brook
M. Agranovsky, On algebraically integrable bodies
S. V. Astashkin, Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness
G. Belitskii and V. Rayskin, A new method of extension of local maps of Banach spaces. Applications and examples
Y. M. Berezansky and A. A. Kalyuzhnyi, Two consequences of the associativity condition for a hypercomplex system with locally compact basis
W. O. Bray and B. Rubin, Inversion formulas of integral geometry in real hyperbolic space
V. M. Buchstaber and A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functions
C. Ciliberto, F. Flamini, and M. Zaidenberg, A remark on the intersection of plane curves
A. T. Fomenko and V. V. Vedyushkina, Topological billiards, conservation laws and classification of trajectories
L. Gatto and I. Scherbak, Hasse-Schmidt derivations and Cayley-Hamilton theorem for exterior algebras
S. Gindikin, Complex analysis on the real sphere, or variations on a Maxwell's theme
G. R. Goldstein, J. A. Goldstein, G. Metafune, and L. Negro, The weighted Laplace transform
S. Kaliman, Surfaces with big automorphism groups
P. Kuchment and S. Lvin, Some binomial formulas for non-commuting operators
J. Leiterer, Similarity of holomorphic matrices on 1-dimensional Stein spaces
V. Milman and L. Rotem, Weighted geometric means of convex bodies
I. Z. Pesenson, Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces
G. Rozenblum and N. Vasilevski, Toeplitz operators in polyanalytic Bergman type spaces
S. Samborski, Complete metric space of Riemann integrable functions and differential calculus in it.
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